Ishida Hirotaka 石田弘隆

… Alternative Names

ISHIDA Hirotaka 石田弘隆

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Researcher Number	30435458
Other IDs
Affiliation (Current)	2023: 東北学院大学, 情報学部, 教授
Affiliation (based on the past Project Information) *help	2018 – 2021: 東北学院大学, 教養学部, 教授 2016 – 2017: 宇部工業高等専門学校, 一般科, 教授 2015: 宇部工業高等専門学校, 一般科, 准教授 2011: 宇部工業高等専門学校, 一般科, 准教授 2007 – 2009: Ube National College of Technology, 一般科, 講師 2008: Ube National College of Technology, 一般科, 准教授 2007: 宇部工業高専, 一般科, 講師
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator 代数曲面 / 曲面特異点 / 代数曲線束 / モジュライ空間 / 代数幾何 / 曲線族 / ガロア被覆 / 不変量 / 高次被覆 / 分岐被覆 / 複素微分方程式 … More Except Principal Investigator … More 退化 / 符号数 / モノドロミー / モジュライ空間 / 特異点 / モジュライ / 局所化 / リーマン面 / ファイバー空間 / 複素曲面 / デデキンド和 / 連分数 / Galois分岐被覆 / ザリスキ・ペア / splitting curve / Mordell-Weil群 / 相互法則 / Zariski pair / non-Galois 3次被覆 / 引き戻し構成 / versal Galois被覆 / 3次被覆 / Alexander多項式 / 基本群 / 特異K3曲面 / 代数曲面 / 曲線族 / Horikawa指数 / 代数曲線 / 安定還元 / モジュライ写像 / ファイバー芽 / エータ不変量 / トーリック幾何 / オービフォルド / 特異ファイバー / 相互律 / 局所不変量 / トーリック写像 / 商特異点 / 安定曲線 / singularity / toric resolution / continued fraction / Fourier-Dedekind sum / Todd class / orbifold / 双有理変換 / 符号不足数 / オービフォールド Less

分岐被覆、微分方程式およびモジュライ空間を通じた代数曲線束のジオグラフィーの研究Principal Investigator
- Principal Investigator
  
  石田弘隆
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku Gakuin University
Studies of the geography of fibrations of algebraic curves from the theory of higher degree coverings and muduli spacesPrincipal Investigator
- Principal Investigator
  
  Ishida Hirotaka
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ube National College of Technology
Application of orbifold signature to singularities and singular fibers
- Principal Investigator
  
  Ashikaga Tadashi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku Gakuin University
Signature divisor on the moduli of curves, signature defect and its applications
- Principal Investigator
  
  ASHIKAGA Tadshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku Gakuin University
Branched covers and Zariski pairs
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Studies on local invariants of degeneration of algebraic curves via moduli map and monodromy
- Principal Investigator
  
  ASHIKAGA Tadashi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku Gakuin University
Coverings of algebraic surfaces and the formula for invariants of its Galois closuresPrincipal Investigator
- Principal Investigator
  
  ISHIDA Hirotaka
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Ube National College of Technology

All 2019 2018 2016 2015 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation

[Journal Article] A lower bound on the Euler-Poincaré characteristic of certain surfaces of general type with a linear pencil of hyperelliptic cureves2016
- Author(s)
  Hirotaka Ishida
- Journal Title
  
  Canadian Journal of Mathematics
  
  Volume: 68 Pages: 67-87
- DOI
  10.4153/cjm-2015-032-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04833
[Journal Article] The existence of hyper-elliptic fibrations with slope four and high relative Euler-Poincare character istic2010
- Author(s)
  H. Ishida
- Journal Title
  
  Proc. AMS
  
  Volume: 139 Pages: 1221-1235
- Data Source
  KAKENHI-PROJECT-21540047
[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009
- Author(s)
  H. Ishida, H. Tokunaga
- Journal Title
  
  Adv. Stud. Pure Math (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740022
[Journal Article] Triple covers of algebraic surfaces and a genera lization of Zariski's example2009
- Author(s)
  H. Ishida and H. Tokunaga
- Journal Title
  
  Adv. Stud. Pure Math.
  
  Volume: 56 Pages: 169-185
- Data Source
  KAKENHI-PROJECT-21540047
[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009
- Author(s)
  Hirotaka Ishida, Hiro-o Tokunaga
- Journal Title
  
  Advanced Studies in Pure Math. 56
  
  Pages: 169-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540043
[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009
- Author(s)
  H. Ishida
- Journal Title
  
  Advanced Studies in pure Mathematics (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740022
[Journal Article] 分岐被覆による特異曲線の構成2009
- Author(s)
  石田弘隆
- Journal Title
  
  平面代数曲線の双有理的研究
  
  Pages: 167-176
- Data Source
  KAKENHI-PROJECT-19740022
[Journal Article] 楕円曲線族の構造をもつ一般型曲面の不変量に関する注意2007
- Author(s)
  石田弘隆
- Journal Title
  
  射影代数多様体の幾何とその周辺2007
  
  Pages: 49-58
- Data Source
  KAKENHI-PROJECT-19740022
[Journal Article] Triple covers of algebraic surfaces and a a generalization of Zariski's example
- Author(s)
  Hirotaka Ishida Hiroo Tokunaga
- Journal Title
  
  Advanced studies in Pure Math. (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540043
[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's Example, to appear in Adv
- Author(s)
  Hirotaka Ishida and Hiro-o tokunaga
- Journal Title
  
  Studies in Pure Math
- Data Source
  KAKENHI-PROJECT-19540047
[Presentation] 射影直線束の巡回3重被覆の構造をもつ代数曲線束の地誌学2019
- Author(s)
  石田弘隆
- Organizer
  農工大数学セミナー2019
- Invited
- Data Source
  KAKENHI-PROJECT-18K03264
[Presentation] ある射影直線束の 3 重被覆で与えられる代数曲線束のスロープに関して2019
- Author(s)
  石田弘隆
- Organizer
  第17回代数曲線論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03264
[Presentation] On certain triple coverings of projective line bundles2019
- Author(s)
  石田弘隆
- Organizer
  Algebraic surfaces and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-18K03264
[Presentation] 射影直線束のガロア被覆の構造をもつ一般型曲面について2018
- Author(s)
  石田弘隆
- Organizer
  射影多様体の幾何とその周辺2018
- Invited
- Data Source
  KAKENHI-PROJECT-18K03264
[Presentation] ある射影直線束の3 重被覆の相対的オイラーポアンカレ標数について2016
- Author(s)
  石田弘隆
- Organizer
  代数曲線・曲面とその周辺
- Place of Presentation
  大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04833
[Presentation] Hyperelliptic fibrations with high slope2015
- Author(s)
  Hirotaka Ishida
- Organizer
  研究集会「特異点と多様体の幾何学」
- Place of Presentation
  草津セミナーハウス
- Year and Date
  2015-09-25
- Invited
- Data Source
  KAKENHI-PROJECT-15K04833
[Presentation] A note on invariants of hyperelliptic fibrations2012
- Author(s)
  H. Ishida
- Organizer
  The 4-th Branched coverings, Degenerations and Related Topics
- Place of Presentation
  広島大学
- Year and Date
  2012-03-07
- Data Source
  KAKENHI-PROJECT-21540047
[Presentation] An approach to the geography problem of hyperelliptic fibrations2011
- Author(s)
  H. Ishida
- Organizer
  第9回代数曲線論シンポジウム
- Place of Presentation
  首都大学東京
- Year and Date
  2011-12-11
- Data Source
  KAKENHI-PROJECT-21540047
[Presentation] 被覆を用いた有理曲面上の代数曲線の構成2011
- Author(s)
  石田弘隆
- Organizer
  代数幾何目白セミナー2011
- Place of Presentation
  学習院大学
- Year and Date
  2011-12-27
- Data Source
  KAKENHI-PROJECT-21540047
[Presentation] Constructions of certain singular curves with geometric genus one2008
- Author(s)
  石田弘隆
- Organizer
  特異点と多様体の幾何
- Place of Presentation
  草津セミナーハウス
- Year and Date
  2008-09-13
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] 被覆による特異曲線の構成2008
- Author(s)
  石田弘隆
- Organizer
  津山代数幾何シンポジューム
- Place of Presentation
  津山工業高等専門学校
- Data Source
  KAKENHI-PROJECT-19540047
[Presentation] ある特異曲線の存在性について2008
- Author(s)
  石田弘隆
- Organizer
  研究集会「被覆のつどい」(第2回)
- Place of Presentation
  首都大学東京
- Year and Date
  2008-01-13
- Data Source
  KAKENHI-PROJECT-19540047
[Presentation] ある特異平面曲線の構成について2008
- Author(s)
  石田弘隆
- Organizer
  分岐被覆に関連する代数幾何とトポロジー(第2回)
- Place of Presentation
  首都大学東京
- Year and Date
  2008-01-12
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] Constructions of certaion singular curves with geometric genus one2008
- Author(s)
  H. Ishida
- Organizer
  特異点と多様体の幾何
- Place of Presentation
  草津セミナーハウス
- Year and Date
  2008-09-13
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] Constructions of certain singular curves with geometric genus one2008
- Author(s)
  H. Ishida
- Organizer
  特異点と多様体の幾何
- Place of Presentation
  草津セミナーハウス
- Data Source
  KAKENHI-PROJECT-19540047
[Presentation] 被覆による特異曲線の構成2008
- Author(s)
  石田弘隆
- Organizer
  津山代数幾何シンポジューム「代数幾何の研究と高専生による数学研究の出会い」
- Place of Presentation
  津山工業高等専門学校
- Year and Date
  2008-08-26
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] ある特異平面曲線の構成について2008
- Author(s)
  石田弘隆
- Organizer
  分岐被覆に関する代数幾何とトポロジー(第2回)
- Place of Presentation
  首都大学東京
- Year and Date
  2008-01-12
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] 被覆による特異曲線の構成2008
- Author(s)
  石田弘隆
- Organizer
  津山代数幾何シンポジューム
- Place of Presentation
  津山工業高等専門学校
- Year and Date
  2008-08-26
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] Triple covers of algebraic surfaces and a generalization of Zariski's example2007
- Author(s)
  石田弘隆, 徳永浩雄(発表者)
- Organizer
  4th Franco-Japanese symposium on Singularites
- Place of Presentation
  富山市
- Year and Date
  2007-08-30
- Data Source
  KAKENHI-PROJECT-19540043
[Presentation] 超楕円曲線族の構造をもつ一般型曲面の不変量に関する注意2007
- Author(s)
  石田弘隆
- Organizer
  射影代数多様体の幾何とその周辺
- Place of Presentation
  高知グリーン会館
- Year and Date
  2007-11-24
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] 2重被覆によるスロープ4の超楕円曲線束の構成について2007
- Author(s)
  石田弘隆
- Organizer
  分岐被覆に関する代数幾何とトポロジー(第1回)
- Place of Presentation
  東北学院大学
- Year and Date
  2007-06-09
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] 超楕円曲線族の構造をもつ一般型曲面の不変量について2007
- Author(s)
  石田弘隆
- Organizer
  射影多様体の幾何とその周辺2007
- Place of Presentation
  高知グリーン会館
- Year and Date
  2007-11-24
- Data Source
  KAKENHI-PROJECT-19740022
[Presentation] 2重被覆によるスロープ4の超楕円曲線束の構成について2007
- Author(s)
  石田弘隆
- Organizer
  分岐被覆に関連する代数幾何とトポロジー(第1回)
- Place of Presentation
  東北学院大学工学部
- Year and Date
  2007-06-09
- Data Source
  KAKENHI-PROJECT-19740022

1. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. KONNO Kazuhiro (10186869)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. YOSHIKAWA Ken-ichi (20242810)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. TOKUNAGA Hiroo (30211395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
5. OKA Mutsuo (40011697)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. SHIMADA Ichiro (10235616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. SHIRANE Taketo (70615161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Matsumoto Yukio (20011637)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Ishida Hirotaka 石田 弘隆

ISHIDA Hirotaka 石田 弘隆

Research Projects

Research Products

Co-Researchers

分岐被覆、微分方程式およびモジュライ空間を通じた代数曲線束のジオグラフィーの研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies of the geography of fibrations of algebraic curves from the theory of higher degree coverings and muduli spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Application of orbifold signature to singularities and singular fibers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Signature divisor on the moduli of curves, signature defect and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Branched covers and Zariski pairs

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on local invariants of degeneration of algebraic curves via moduli map and monodromy

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Coverings of algebraic surfaces and the formula for invariants of its Galois closuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A lower bound on the Euler-Poincar&#233; characteristic of certain surfaces of general type with a linear pencil of hyperelliptic cureves2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The existence of hyper-elliptic fibrations with slope four and high relative Euler-Poincare character istic2010

Author(s)

Journal Title

Data Source

[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

Author(s)

Journal Title

Data Source

[Journal Article] Triple covers of algebraic surfaces and a genera lization of Zariski's example2009

Author(s)

Journal Title

Data Source

[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

Author(s)

Journal Title

Data Source

[Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

Author(s)

Journal Title

Data Source

[Journal Article] 分岐被覆による特異曲線の構成2009

Author(s)

Journal Title

Data Source

[Journal Article] 楕円曲線族の構造をもつ一般型曲面の不変量に関する注意2007

Author(s)

Journal Title

Data Source

Ishida Hirotaka 石田弘隆

ISHIDA Hirotaka 石田弘隆

[Journal Article] A lower bound on the Euler-Poincaré characteristic of certain surfaces of general type with a linear pencil of hyperelliptic cureves2016